On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan

Details On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan

2001-03-24

arxiv.org/abs/math/0103149v1

Mathematics

Combinatorics

Avoid recursions, use generating functions

Scientific paper

A certain functional-difference equation that Runyon encountered when
analyzing a queuing system was solved in a combined effort of Morrison,
Carlitz, and Riordan. We simplify that analysis by exclusively using generating
functions, in particular the kernel method, and the Lagrange inversion formula.

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